Daily Practice

Higher Plus

7th January 1990

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
2
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 10 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 7 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of January 1990, including the monthly compilation PDF.